Find the Value of ab if a+b=8 and a-b=2
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Answered by
2
Step-by-step explanation:
Here a-b=8 and ab =9 so firstly we have to simplify the equation and after that find the value of a variable in terms of another and put this value in other equation
Solution:
a-b=8
a=8+b
put the value of a in another equation
(8+b)b=9
b^2+8b-9=0
b^2+9b-b-9=0
b(b+9)-1(b+9)=0
(b-9) (b+9)=0
if multiplication of two number is zero it means one of them is zero or both
So, b-9=0
b=9
or b+9=0
b=-9
so on putting value of b=9
a-b=8
a=17 and ab =9
17*9 is not equal to 9
and if we take b=-9
a-(-9)=8
a=-1
then -1*-9=9
this value of a and b satisfy the equation
So a=-1 and b=-9
then a+b = -10
Hope its helpful for you dear ❤❤
Answered by
6
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